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Finding the Fourth Proportional to 13,868.87, 20,814.21 and 6,469.52

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Solution

The fourth proportional to 13,868.87, 20,814.21 and 6,469.52 is: 9,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.87 : 20,814.21 = 6,469.52 : x
  2. Step 2: Convert to fraction form
    13,868.87/20,814.21 = 6,469.52/x
  3. Step 3: Cross multiply
    13,868.87x = 20,814.21 × 6,469.52
  4. Step 4: Simplify right side
    13,868.87x = 134,657,843.81
  5. Step 5: Solve for x
    x = 134,657,843.81/13,868.87
  6. Step 6: Final answer
    x = 9,709.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.